Teaching Multiplication Tables

Here is an excerpt from the above link:

Learning multiplication tables involves auditory pattern recognition, and temporal factors (the order of the language). Differentiating 8 x 7 = 56 from 6 x 7 = 42 is very difficult, since these are abstract symbols for a particular quantity. If she just says them over and over again, she may remember one...until she hears the next one. Your daughter has to be instructed in a concrete visual, hands-on way to understand ("see" in her mind's eye) that a number represents a quantity. Otherwise, the times tables are just another jumble of numbers.